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Prime Number TheoremExplores the proof of the Prime Number Theorem and its implications in number theory.
Quotient CriterionExplores a criterion for computing quotients in algebraic geometry, emphasizing the importance of normality and g-invariant morphisms.
Connected ComponentsCovers the concept of connected components in linear algebraic groups and their relationship to singular groups.
Diagonalizable GroupsExplores the concept of diagonalizable groups and their properties in linear algebraic groups.
Local Global DualityExplores local-global duality in lattices and joint equidistribution of CM points.
Quotients: Geometrical PropertiesDelves into the geometrical properties of quotients by linearly reductive groups, emphasizing the uniqueness of closed orbits and the concept of a geometric quotient.
Linearly reductive groupsDiscusses linearly reductive groups and their properties, focusing on completely reducible representations and equivalent modules.
Symplectic GroupsExplores symplectic groups, linear transformations preserving non-degenerate alternating bilinear forms on vector spaces.
Project Group DevelopmentExplores the stages of small group development and the importance of conflict management and goal achievement.